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Finding the Fourth Proportional to 97,786,440,469.80, 146,679,660,704.70 and 97,786,440,469.80

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Solution

The fourth proportional to 97,786,440,469.80, 146,679,660,704.70 and 97,786,440,469.80 is: 146,679,660,704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,786,440,469.80 : 146,679,660,704.70 = 97,786,440,469.80 : x
  2. Step 2: Convert to fraction form
    97,786,440,469.80/146,679,660,704.70 = 97,786,440,469.80/x
  3. Step 3: Cross multiply
    97,786,440,469.80x = 146,679,660,704.70 × 97,786,440,469.80
  4. Step 4: Simplify right side
    97,786,440,469.80x = 14,343,281,909,630,609,915,904
  5. Step 5: Solve for x
    x = 14,343,281,909,630,609,915,904/97,786,440,469.80
  6. Step 6: Final answer
    x = 146,679,660,704.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.